The weight of a 5.0-kilogram object at the surface of Earth is 49 N. Hence, option (C) is correct.
Mass is a fundamental quantity in physics and the most fundamental attribute of matter. Mass can be defined as the amount of matter contained in a body. Kilogram is the SI unit of mass (kg).
A body's mass does not alter at any time. Only in severe instances where a massive amount of energy is provided or removed from the body.
The force of gravity acting on a body is measured by weight. The weight formula is as follows: w = mg. Because weight is a force, it has the same SI unit as force; the SI unit of weight is Newton (N).
The weight of the object is = 5.0 × 9.8 N
= 49.0 N.
Hence, option (B) is correct.
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Answer:
49 N (d)
Explanation:
w= mg = 5 kg * 9.8 m/s^2 = 49 N
initial angular speed is given by 33.3 rpm
final angular speed is given by 78 rpm
now by using kinematics we will have
Answer:
-4.40
Explanation:
explanation is in attachment
Answer:
Δ KE = - 8.75 x 10⁻⁴ J
Explanation:
given,
mass of applesauce = 7 g = 0.007 Kg
initial velocity, u = 0.5 m/s
final velocity, v = 0 m/s
Decrease in kinetic energy = ?
initial kinetic energy
KE₁ = 8.75 x 10⁻⁴ J
final kinetic energy
KE₂ =0 J
Decrease in kinetic energy
Δ KE = KE₂ - KE₁
Δ KE = 0 - 8.75 x 10⁻⁴
Δ KE = - 8.75 x 10⁻⁴ J
decrease in kinetic energy of the applesauce is equal to 8.75 x 10⁻⁴ J
The decrease in kinetic energy of the applesauce, when it hits the wall and stops, is the initial kinetic energy of it. Using the formula of kinetic energy, the decrease is calculated to be 0.000875 Joules.
This question relates to the concept of kinetic energy in physics. Kinetic energy is calculated by the formula 0.5 * mass (kg) * velocity (m/s)^2. So the initial kinetic energy of the applesauce right after being thrown was 0.5 * 0.007 kg * (0.5 m/s)^2 = 0.000875 Joules.
When the applesauce hits the wall and stops, its velocity drops to 0. Thus, its kinetic energy also goes to 0 (because kinetic energy is proportional to the square of velocity).
Therefore, the decrease in kinetic energy is the same as the initial kinetic energy of the applesauce, which is 0.000875 Joules.
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where Bx = 3.3 X 10-6 T, By = 3.9 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.
1)
What is f, the frequency of this wave?
GHz
2)
What is I, the intensity of this wave?
W/m2
3)
What is Sz, the z-component of the Poynting vector at (x = 0, y = 0, z = 0) at t = 0?
W/m2
4)
What is Ex, the x-component of the electric field at (x = 0, y = 0, z = 0) at t = 0?
V/m
5)
Compare the sign and magnitude of Sz, the z-component of the Poynting vector at (x=y=z=t=0) of the wave described above to the sign and magnitude of SIIz, the z-component of the Poynting vector at (x=y=z=t=0) of another plane monochromatic electromagnetic wave propagating through vaccum described by:
B? =(BIIxi^?BIIyj^)cos(kz??t)
where BIIx = 3.9 X 10-6 T, BIIy = 3.3 X 10-6 T, and i-hat and j-hat are the unit vectors in the +x and +y directions, respectively.
SIIz < 0 and magnitude(SIIz) =/ (does not equal sign) magnitude(Sz)
SIIz < 0 and magnitude(SIIz) = magnitude(Sz)
SIIz > 0 and magnitude(SIIz) =/ (does not equal sign) magnitude(Sz)
SIIz > 0 and magnitude(SIIz) = magnitude(
The question involves computation of frequency, intensity, Poynting vector and electric field of an electromagnetic wave, and comparison between two such waves. The solutions result in approximately: 10 GHz for frequency, 3.07 x 10^-12 W/m^2 for intensity, 1.3 X 10^-19 W/m^2 for the z-component of Poynting vector, and 1.43 V/m for the electric field. Moreover, the comparison yields that SIIz is less than zero and not equal to Sz in magnitude.
The subject of your question relates to
electromagnetic waves
and their properties such as frequency, intensity, Poynting vector, and the electric field component. These concepts belong to the realm of physics, and more specifically, are topics in the study of electromagnetic theory.
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The frequency of the wave is 10 GHz. While we can't expressly calculate the intesity, Sz, and Ex without more information, we can note that if the signs of Bx and By are swapped in a new wave, the Poynting vector would be flipped, hence SIIz would be negative and of equal magnitude to Sz.
An electromagnetic wave propagating through vacuum is described by certain electromagnetic fields which are associated with frequency, intensity, and Poynting vector which indicates the direction of energy flow. These can be calculated using certain formulas derived from wave equations.
Frequency can be acquired from the wavelength (λ) with the formula: f = c/λ, where c is the speed of light in vacuum. Using given λ = 3 cm, we get f = 10^10 Hz or 10 GHz.
The total Intensity (I) can be calculated as the average of the sum of the intensities in the x and y direction, given by: 1/2 ε_0 c E^2, where ε_0 is the permittivity of free-space and E is the electric field amplitude. However, more information might be needed to calculate this value. Similarly, without further information, we cannot calculate the exact values of Sz and Ex.
When comparing Sz and SIIz, if the signs of Bx and By are swapped in a new wave, this would flip the direction of the Poynting vector (since it is related to E × B), hence SIIz < 0 and its magnitude would still equal to Sz because the magnitudes of Bx and By do not change.
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Answer:
Radius at liftoff 8.98 m
Explanation:
At the working altitude;
maximum radius = 24 m
air pressure = 0.030 atm
air temperature = 200 K
At liftoff;
temperature = 349 K
pressure = 1 atm
radius = ?
First, we assume balloon is spherical in nature,
and that the working gas obeys the gas laws.
from the radius, we can find the volume of the balloon at working atmosphere.
Volume of a sphere =
volume of balloon = x 3.142 x = 57913.34 m^3
using the gas equation,
=
The subscript 1 indicates the properties of the gas at working altitude, and the subscript 2 indicates properties of the gas at liftoff.
imputing values, we have
=
0.03 x 57913.34 x 349 = 200V2
V2 = 606352.67/200 = 3031.76 m^3 this is the volume occupied by the gas in the balloon at liftoff.
from the formula volume of a sphere,
V = = x 3.142 x = 3031.76
4.19 = 3031.76
= 3031.76/4.19
radius r of the balloon on liftoff = = 8.98 m